Kane got in on the act when he turned home a rebound in the 82nd minute, before Ings netted his and Southampton's second of the game with a 90th minute penalty.
Ibrahimovic had the chance to complete his hat-trick in the 63rd minute, but he ballooned the ball over the bar with the goalkeeper well beaten.
Although Shenzhen FC's Gao Lin managed to pull one back in the 63rd minute by seizing the spot-kick, the Shandong based club still successfully took three points, ending their four-round winless run and allowing them to temporarily upgrade to second place.
The 20-year-old kept a clean sheet after clearing 5.82 meters. Reigning world champion Sam Kendricks of the United States and France's former world record holder Renaud Lavillenie needed their third attempts to leap off 5.82m.
The UEFA Super Cup is an annual match between the reigning champions of the two European major football competitions, the UEFA Champions League and the UEFA Europa League.
Yunnan seemed defenseless toward Jiangsu's four national members lined-up in the first set, but Jiangsu suddenly lost steam in the second, gifting Yunnan a 5-3 lead from two severing faults.
The first half saw Granada in complete control of the game, although the visitors defended stoutly. When the home side had a sniff of goal, it was kept at bay by young goalkeeper Giorgi Mamardashvili.
Henan missed the chance to equalize in the 64th minute when Fernando Karanga's spot-kick was blocked by Guangzhou Evergrande goalkeeper Liu Dianzuo.
And all of this against a rival that in Gerard Moreno and Paco Alcacer has two of the best strikers in La Liga. Will it be a happy start for Koeman, or will he face problems from the very start?
"It's great to play and to be back with my teammates. I return with a victory and a goal, so I am happy. We are getting our feeling back, our way of playing," the 21-year-old Mbappe said after the match.
It may seem harsh to say that the reigning Champions have problems scoring goals, but that was one of Real Madrid's main issues last season, with much of the responsibility falling on Karim Benzema.